Property of Logarithms

Answer explanation

If we apply the power rule of logs,  $y=\log_3\left(9^2\right)$ .  So   $y=\log_381$  written as an exponential is   $3^y=81$  , and  $y=4.$  

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Use the properties of logarithms to retwrite

• A

• B

• C

• D

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

Mathematical Equivalence

ON

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

• Product property

• Quotient property
  

• Power property

• Change of Base Property

Use the properties of logarithms to rewrite as the sum of two logarithms: \log55

• log 40 + log 15

• log 50 + log 5

• log 11 + log 5